Two numbers are in the ratio 3 : 5. If 6 is added to both of them, the ratio becomes 2 : 3. The numbers are = ?

A. 21 and 35

B. 30 and 50

C. 24 and 40

D. 18 and 30

Answer: Option D

Solution(By Examveda Team)

Let numbers are = 3x and 5x
∴ According to question,
$$\eqalign{ & \Rightarrow \frac{{3x + 6}}{{5x + 6}} = \frac{2}{3} \cr & \Rightarrow 9x + 18 = 10x + 12 \cr & \Rightarrow x = 6 \cr & {\text{So, numbers are }} \cr & 3x = 3 \times 6 = 18 \cr & 5x = 5 \times 6 = 30 \cr} $$